Homotopy colimits and global observables in Abelian gauge theory
We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds by using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to s...
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| Format: | Article |
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Springer Verlag
2015
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| Online Access: | https://eprints.nottingham.ac.uk/41004/ |
| _version_ | 1848796176010182656 |
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| author | Benini, Marco Schenkel, Alexander Szabo, Richard J. |
| author_facet | Benini, Marco Schenkel, Alexander Szabo, Richard J. |
| author_sort | Benini, Marco |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds by using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence. |
| first_indexed | 2025-11-14T19:43:49Z |
| format | Article |
| id | nottingham-41004 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:49Z |
| publishDate | 2015 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-410042020-05-04T17:16:02Z https://eprints.nottingham.ac.uk/41004/ Homotopy colimits and global observables in Abelian gauge theory Benini, Marco Schenkel, Alexander Szabo, Richard J. We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds by using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence. Springer Verlag 2015-09-30 Article PeerReviewed Benini, Marco, Schenkel, Alexander and Szabo, Richard J. (2015) Homotopy colimits and global observables in Abelian gauge theory. Letters in Mathematical Physics, 105 (9). pp. 1193-1222. ISSN 1573-0530 Abelian gauge theory global configurations and observables chain complexes homotopy limits and colimits http://link.springer.com/article/10.1007%2Fs11005-015-0765-y doi:10.1007/s11005-015-0765-y doi:10.1007/s11005-015-0765-y |
| spellingShingle | Abelian gauge theory global configurations and observables chain complexes homotopy limits and colimits Benini, Marco Schenkel, Alexander Szabo, Richard J. Homotopy colimits and global observables in Abelian gauge theory |
| title | Homotopy colimits and global observables in Abelian gauge theory |
| title_full | Homotopy colimits and global observables in Abelian gauge theory |
| title_fullStr | Homotopy colimits and global observables in Abelian gauge theory |
| title_full_unstemmed | Homotopy colimits and global observables in Abelian gauge theory |
| title_short | Homotopy colimits and global observables in Abelian gauge theory |
| title_sort | homotopy colimits and global observables in abelian gauge theory |
| topic | Abelian gauge theory global configurations and observables chain complexes homotopy limits and colimits |
| url | https://eprints.nottingham.ac.uk/41004/ https://eprints.nottingham.ac.uk/41004/ https://eprints.nottingham.ac.uk/41004/ |